4002233340 has 192 divisors, whose sum is σ = 13523328000. Its totient is φ = 863944704.

The previous prime is 4002233329. The next prime is 4002233369. The reversal of 4002233340 is 433322004.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3582462 + ... + 3583578.

It is an arithmetic number, because the mean of its divisors is an integer number (70434000).

Almost surely, 2^4002233340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002233340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761664000).

4002233340 is an abundant number, since it is smaller than the sum of its proper divisors (9521094660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4002233340 is a wasteful number, since it uses less digits than its factorization.

4002233340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 4002233340 is about 63263.2068425242. The cubic root of 4002233340 is about 1587.6964308570.

Adding to 4002233340 its reverse (433322004), we get a palindrome (4435555344).

The spelling of 4002233340 in words is "four billion, two million, two hundred thirty-three thousand, three hundred forty".